Answer: Carat
Step-by-step explanation:
It is given that 1 atomic unit is equivalent to
[tex]8.3\times 10^{-24}\ \text{carat}[/tex] and [tex]1.66\times 10^{-21}\ mg[/tex]
Express carat and milligram in the atomic mass unit, that is
[tex]1\ \text{amu}\equiv 8.3\times 10^{-24}\ \text{carat}\\1\ \text{carat}\equiv \dfrac{1}{8.3\times 10^{-24}}=1.204\times 10^{23}\ amu[/tex]
For milligram
[tex]1\ \text{amu}\equiv 1.66\times 10^{-21}\ mg\\1\ mg\equiv \dfrac{1}{1.66\times 10^{-21}}=6.02\times 10^{20}\ \text{amu}[/tex]
clearly, carat is greater than milligram
What is the circumference of the circle?
Answer:
The circumference of a circle is the distance around the outside of the circle
Hope It Helps :)
Step-by-step explanation:
Answer:
Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of circle defines the region occupied by it. If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.
When we use the formula to calculate the circumference of the circle, then the radius of the circle is taken into account. Hence, we need to know the value of the radius or the diameter to evaluate the perimeter of the circle.
Circumference of a Circle Formula
The Circumference (or) perimeter of a circle = 2πR
where,
R is the radius of the circle
π is the mathematical constant with an approximate (up to two decimal points) value of 3.14
Again,
Pi (π) is a special mathematical constant; it is the ratio of circumference to diameter of any circle.
where C = π D
C is the circumference of the circle
D is the diameter of the circle
For example: If the radius of the circle is 4cm then find its circumference.
Given: Radius = 4cm
Circumference = 2πr
= 2 x 3.14 x 4
= 25.12 cm
Find the measure of 4
goods bought for $800 had to be sold off at a loss of 8% the selling price was
Answer:
8% of 800 is 64
800-64=736
Step-by-step explanation:
i need help with my maths work.
don't send me links I cant open links
A music store had a sale on tapes and CDs. Tapes were on sale for $5 each and CDs were on sale for $7. During the sale, 32 tapes and CDs were sold. The cash receipts from the sale of the tapes and CDs, before taxes, were $200. Let x represent the number of tapes and let y represent the number of CDs sold during the sale.
Answer:
Step-by-step explanation:
Hi there, check the image, For some reason they were telling it contained inappropriate words but I am not sure what are they referring to.
Answer:
x=12
y=20
Step-by-step explanation:
x+y=32
5x+7y=200
5x+5y=160
2y=40
y=20
x=12
Pls help extra points
A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.16. In a sample of 200 graduates, 24 students have a GPA of 3.00 or below. The value of the test statistic and its associated p-value at the 5% significance level are _________, respectively.
Answer:
The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.
Step-by-step explanation:
A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.16.
This means that the null hypothesis is:
[tex]H_{0}: p \geq 0.16[/tex]
Testing this hypothesis, means that the alternate hypothesis is:
[tex]H_{a}: p > 0.16[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.16 is tested at the null hypothesis:
This means that [tex]\mu = 0.16, \sigma = \sqrt{0.16*0.84}[/tex]
In a sample of 200 graduates, 24 students have a GPA of 3.00 or below.
This means that [tex]n = 200, X = \frac{24}{200} = 0.12[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.12 - 0.16}{\frac{\sqrt{0.16*0.84}}{\sqrt{200}}}[/tex]
[tex]z = -1.54[/tex]
Pvalue:
The pvalue is the probability of finding a sample mean above 0.12, which is 1 subtracted by the pvalue of z = -1.54.
Looking at the z-table, z = -1.54 has a pvalue of 0.0618
1 - 0.0618 = 0.9382
The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.
10.
A, B and C are the points (3, 4, (7,3) and (-2, 1) respectively. Obtain the
equation of the median through B of triangle ABC.
Answer:
[tex]y=\frac{1}{13} x+\frac{32}{13}.[/tex]
Step-by-step explanation:
1. the midpoint of the side AC is:
[tex]D:(\frac{3-2}{2};\frac{4+1}{2})=(0.5;2.5).[/tex]
2. if the coordinates of the points B and D are (7;3) and (0.5;2.5) respectively, then it is possible to make up the required equation of the median BD:
[tex]\frac{x-7}{7-0.5}=\frac{y-3}{3-2.5}; \ \frac{x-7}{13}=\frac{y-3}{1}[/tex]
or
[tex]y=\frac{1}{13} x+\frac{32}{13}[/tex]
A store by 17 sweaters for $255 and sells them for $578 how much profit does the store make per sweater.....
If Candice has 1000 soaps and eats 5 how many apples will he have left?
Answer:
995
Step-by-step explanation:
Because you would have to subtract 5 from 1000 which is 995, hope this helped!
AB= Round your answer to the nearest hundredth. 3 3 65 B
Answer:
AB = 7.10
Step-by-step explanation:
Reference angle = 65°
Hypotenuse = AB = ?
Adjacent side length = BC = 3
Apply the trigonometric ratio CAH, to find AB.
Cos 65 = Adj/Hyp
Cos 65 = 3/AB
AB*Cos 65 = 3
AB = 3/Cos 65
AB = 7.09860475
AB = 7.10 (nearest hundredth)
At a zoo, 7 lizards ate 35 grams of insects in one
night. At this rate, how many grams of insects could
36 lizards eat in one night?
I need help with these 2.
Answer:
A^2 + B^2=C^2
Step-by-step explanation:
21^2 + 28^2= c/c
For the second answer its just backwards.
can someone help please
9514 1404 393
Answer:
A, D
Step-by-step explanation:
The figure looks symmetrical, but their is no given information indicating it actually is symmetrical. Thus we can't make any statements about the segment lengths. Nor is there any indication that any of the arc lengths are identical.
If we rule out statements about segments and arcs, that only leaves statements about angles. As it happens both of those are true: inscribed angles that intercept the same arc are congruent.
The true statements are ...
A: ∠CAD≅∠CBD
D: ∠ACB≅∠ADB
Can I please get help with these math problems? Thanks !
Answer:
1= 240. 2= 1800
girl I suck at this but basically I just multiplied the base and the width then i multiplied the height bye the product of the base and width!
Please Dont Get Mad If Its Wrong.
Can someone please help me? I don’t understand this at all :/
1 pts
Question 13
If 4 meters is about 156 inches, which proportion could be used to find how many
inches are in 13 meters?
HELP ME PLEASE I NEED TO PASS THIS CLASS
Answer: I could be wrong but it's probably 3.
Step-by-step explanation: Once there's x in the 3 sides of angles you subtract. 73 minus 3 = 3 degrees. If I'm wrong sorry about that. I will try to improve. :)
Answer:
37°
Step-by-step explanation:
70°+73°+x°=180°
143°+x°=180°
x°=180°-143°
x°=37°
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What percentage of people have an IQ score between 69 and 137, to the nearest tenth?
Answer:97.4
Step-by-step explanation:
use calculator
Lower: 69
Upper: 137
Mean:100
Standard deviation: 15
Write in slope form: y-7=4(x-1)
Answer:
y=4x+3
Step-by-step explanation:
y=mx+b
y-7=4(x-1)
y-7=4x-4
y=4x+7-4
y=4x+3
what is the possessive form of harmonica
Answer:
harmonica’s
Step-by-step explanation:
because it’s talking about multiple and it has apostrophe and an s
6÷2 ( 1+2 ) = 1 or 9 ? How.
Answer:
the answer is in a you tube video but to clarify the answer is 9 the explanation is in the video
Step-by-step explanation:
A batch of 24 cupcakes requires 9 oz of flour Julio made 432 cupcakes for the bake sale how many pounds and ounces of flour did he use
Answer:
162
Step-by-step explanation:
432/24*9
162
Let f(x) = x + 2 and g(x) = x + 4.
Find f(g(f(2)).
Brainliest 15 points
Answer:
10
Step-by-step explanation:
Let's find f(2) first.
f(2) = 2 + 2 = 4
This means it would be f(g(4)).
Then let's find g(4).
g(4) = 4 + 4 = 8
Then, this means f(8).
f(8) = 8 + 2 = 10
WILL GIVE 30 POINTS TO WHOEVER SOLVES THIS
Answer:
142 square meters
Step-by-step explanation:
Big rectangle Area = LxW = 18 x9= 162
White triangle Area A = (ab)/2 legs 5 and 8 ( 18-10= 8 )
= (5x8)/ 2 = 20
Subtract white triangle from green rectangle
162-20 = 142
OR
area left rectangle LxW 10x9 = 90
area right rectangle LxW 4x8 =32
area green triangle ( sides 5 an8 ) (ab)/2 = 20
90+32+20 = 142
1/3x+8=12 what does x equal and show work
Answer: x = 12
Step-by-step explanation:
subtract 8 on both sides (12-8=4)
now we have 1/3x = 4
multiply 3 on both sides (4 x 3 = 12)
now we have x = 12
Given x^2 + y^2 = 16, find
name:
center:
Domain:
Range:
x-int
y-int
Answer:
see explanation
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 16 ← is the equation of a circle
centre (0, 0 ) and r = [tex]\sqrt{16}[/tex] = 4
The circle therefore intercepts the x- axis at (4, 0 ) and (4, 0 )
and intercepts the y- axis at (0, - 4 ) and (0, 4 )
Domain is - 4 ≤ x ≤ 4
range is - 4 ≤ y ≤ 4
x- intercepts are x = - 4, x = 4
y- intercepts are - 4, 4
Answer:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 16 ← is the equation of a circle
centre (0, 0 ) and r = \sqrt{16}16 = 4
The circle therefore intercepts the x- axis at (4, 0 ) and (4, 0 )
and intercepts the y- axis at (0, - 4 ) and (0, 4 )
what would be the slope of this line? geometry/algebra
Answer:
0
Step-by-step explanation:
Leslie tunes musical instruments. Leslie tuned a guitar with 6 strings today. Then she tuned a piano with 37 times as many strings.
How many strings did the piano have?
Choose 1 answer:
(Choice A)
The piano has 422 strings, because 37×6=422.
(Choice B)
The piano has 222 strings, because 37×6=222.
(Choice C)
The piano has 6 strings, because 37÷6=6 remainder 1.
Answer: The piano has 222 strings, because 37×6=222.
Step-by-step explanation:
Since we are informed that Leslie tuned a guitar with 6 strings today and that she then tuned a piano with 37 times as many strings.
This simply means that we have to multiply 37 by 6 strings to get the value of the strings of the piano that she tuned. This will be:
= 6 × 37
= 222 strings.
Leslie tuned 222 strings.
Therefore, the piano has 222 strings, because 37×6=222.
This week Jose played guitar for 3/4 of an hour on Tuesday, an hour and a half on Thursday, and 2.3 hours on Saturday. If Jose plays guitar for the same amount of time next week, how many hours will he have practiced over these 6 days?
Answer:
Jose will have played the guitar for 9.1 hours during those 6 days.
Step-by-step explanation:
Given that this week Jose played guitar for 3/4 of an hour on Tuesday, an hour and a half on Thursday, and 2.3 hours on Saturday, to determine, if Jose plays guitar for the same amount of time next week, how many hours will he have practiced over these 6 days, the following calculation must be performed:
3/4 = 0.75
1/2 = 0.5
(0.75 + 1.5 + 2.3) x 2 = X
4.55 x 2 = X
9.10 = X
Therefore, Jose will have played the guitar for 9.1 hours during those 6 days.
Suppose a group of research proposals was evaluated by a panel of experts to decide whether or not they were worthy of funding. When these same proposals were submitted to a second independent panel of experts, the decision to fund was reversed in 52 % of the cases. If the probability that a proposal is judged worthy of funding by the first panel is 0.27, what is the probability that a worthy proposal is disapproved by both panels
Answer:
0.3504 = 35.04% probability that a worthy proposal is disapproved by both panels
Step-by-step explanation:
We have that:
0.27 = 27% of the time, the proposal is judged worthy of funding by the first panel. So 100 - 27 = 73% probability of being disapproved.
52% of the time, the independent panel reverses the decision. So if the first panel disapproves the funding, 52% probability the second approves the funding and 100 - 52 = 48% probability it does not.
What is the probability that a worthy proposal is disapproved by both panels?
48% of 73%. So
0.48*0.73 = 0.3504
0.3504 = 35.04% probability that a worthy proposal is disapproved by both panels